The H-join of arbitrary families of graphs

The H-join of a family of graphs G = {G1, . . . , Gp}, also called the generalized composition, H[G1, . . . , Gp], where all graphs are undirected, simple and finite, is the graph obtained from the graph H replacing each vertex i of H by Gi and adding to the edges of all graphs in G the edges of the join Gi ∨ Gj , for every edge ij of H. Some well known graph operations are particular cases of the H-join of a family of graphs G as it is the case of the lexicographic product (also called composition) of two graphs H and G, H[G], which coincides with the H-join of family of graphs G where all the graphs in G are isomorphic to a fixed graph G. So far, the known expressions for the determination of the entire spectrum of the H-join in terms of the spectra of its components and an associated matrix are limited to families of regular graphs. In this paper, we extend such a determination to families of arbitrary graphs.publishe

Graph Theory approach to COVID-19 transmission by municipalities and age groups

The COVID-19 pandemic remains a global problem that affects the health of millions of people and the world economy. Identifying how the movement of people between regions of the world, countries, and municipalities and how the close contact between individuals of different age groups promotes the spread of infectious diseases is a pressing concern for society, during epidemic outbreaks and pandemics, such as COVID-19. Networks and Graph Theory provide adequate and powerful tools to study the spread of communicable diseases. In this work, we use Graph Theory to analyze COVID-19 transmission dynamics between municipalities of Aveiro district, in Portugal, and between different age groups, considering data from 2020 and 2021, in order to better understand the spread of this disease, as well as preparing actions for possible future pandemics. We used a digraph structure that models the transmission of SARS-CoV-2 virus between Aveiro’s municipalities and between age groups. To understand how a node fits over the contact digraphs, we studied centrality measures, namely eigencentrality, closeness, degree, and betweenness. Transmission ratios were also considered to determine whether there were certain age groups or municipals that were more responsible for the virus’s spread. According to the results of this research, transmissions mostly occur within the same social groupings, that is, within the same municipalities and age groups. However, the study of centrality measures, eliminating loops, reveals that municipalities such as Aveiro, Estarreja and Ovar are relevant nodes in the transmission network of municipalities as well as the age group of 40–49 in the transmission network of age groups. Furthermore, we conclude that vaccination is effective in reducing the virus.publishe

Pediatric Electrical Stimulation for Limb Lengthening: A Non-Invasive Approach

Leg Length Discrepancy (LLD) is a problematic ailment for children as the differences in limb lengths can lead to scoliosis, hip, knee, and ankle problems, and back pain. If LLD is untreated, the symptoms will worsen as the child matures. Today LLD is corrected by using the Ilizarov Method, which uses pins that are externally attached to the broken bone for extension over time using a fixator or by using internal plates that do not require externalization. In our project we aim to use external electrical stimulation to correct the limb discrepancies. Several companies, such as Zimmer Biomet, have created an external bone growth stimulator that uses capacitive coupled electrical stimulation to promote bone growth. However, these devices are not designed for use in children. We have designed a device that will also use capacitive coupling to electrically stimulate bone growth in children. We began by using a computational model to measure the optimal current to achieve our goal. Our device was designed to be simple, easy, and comfortable for pediatric patients. Our device consists of an integrated circuit with two portions, a power supply and an oscillator section to generate the square wave intended to deliver the voltage to the patient to stimulate growth at the epiphyseal plate. The device, meant to deliver therapy during the patient’s sleep, allows the patient to wear the device comfortably while not disrupting their everyday life, while simultaneously fixing the discrepancy

Spectral bounds for the k-regular induced subgraph problem

Many optimization problems on graphs are reduced to the determination of a subset of vertices of maximum cardinality which induces a $k$-regular subgraph. For example, a maximum independent set, a maximum induced matching and a maximum clique is a maximum cardinality $0$-regular, $1$-regular and $(\omega(G)-1)$-regular induced subgraph, respectively, were $\omega(G)$ denotes the clique number of the graph $G$. The determination of the order of a $k$-regular induced subgraph of highest order is in general an NP-hard problem. This paper is devoted to the study of spectral upper bounds on the order of these subgraphs which are determined in polynomial time and in many cases are good approximations of the respective optimal solutions. The introduced upper bounds are deduced based on adjacency, Laplacian and signless Laplacian spectra. Some analytical comparisons between them are presented. Finally, all of the studied upper bounds are tested and compared through several computational experiments

Evaluating COVID-19 in Portugal: Bootstrap confidence interval

In this paper, we consider a compartmental model to fit the real data of confirmed active cases with COVID-19 in Portugal, from March 2, 2020 until September 10, 2021 in the Primary Care Cluster in Aveiro region, ACES BV, reported to the Public Health Unit. The model includes a deterministic component based on ordinary differential equations and a stochastic component based on bootstrap methods in regression. The main goal of this work is to take into account the variability underlying the data set and analyse the estimation accuracy of the model using a residual bootstrapped approach in order to compute confidence intervals for the prediction of COVID-19 confirmed active cases. All numerical simulations are performed in R environment ( version. 4.0.5). The proposed algorithm can be used, after a suitable adaptation, in other communicable diseases and outbreaks

Old and new challenges in Parkinson's disease therapeutics

Parkinson's disease (PD) is a neurodegenerative disorder characterized by the degeneration of dopaminergic neurons and/or loss od neuronal projections, in several dopaminergic networks. Current treatments for idiopathic PD rely mainly on the use of pharmacologic agents to improve motor symptomatology of PD patients. Nevertheless, so far PD remains an incurable disease. Therefore, it is of utmost importance to establish new therapeutic strategies for PD treatment. Over the last 20 years, several molecular, gene and cell/stem-cell therapeutic approaches have been developed with the aim of counteracting or retarding PD progression. The scope of this review is to provide an overview of PD related therapies and major breakthroughs achieved within this field. In order to do so, this review will start by focusing on PD characterization and current treatment options covering thereafter molecular, gene and cell/stem cell-based therapies that are currently being studied in animal models of PD or have recently been tested in clinical trials. Among stem cell-based therapies, those using MSCs as possible disease modifying agents for PD therapy and, specifically, the MSCs secretome contribution to meet the clinical challenge of counteracting or retarding PD progression, will be more deeply explored.Portuguese Foundation for Science and Technology (FCT) for the PhD fellowship attributed to A.O. Pires (Reference: SFRH/BD/33900/2009) and the IF development grant to A.J. Salgado (Reference: IF/00111/2013). Project NORTE-01-0145-FEDER-000013, supported by the Northern Portugal Regional Operational Programme (NORTE 2020), under the Portugal 2020 Partnership Agreement, through the European Regional Development Fund (FEDER). Funded by FEDER funds, through the Competitiveness Factors Operational Programme (COMPETE), and by National funds, through the Foundation for Science and Technology (FCT), under the scope of the project POCI-01-0145-FEDER-007038info:eu-repo/semantics/publishedVersio

Cross-cultural adaptation and measurement properties of the Portuguese version of the Ankle Instability Instrument

Chronic ankle instability is one of the most common clinical conditions in the general population, especially in adult athletes. The cross-cultural adaptation of self-reported questionnaires that identify and classify this condition contribute to criteria standardization in research but also in rehabilitation. Aim of Study. To validate the Ankle Instability Instrument to the Portuguese population and to investigate its psychometric properties. Material and Methods. Linguistic and semantic equivalence of the original version of the Ankle Instability Instrument to the Portuguese population was firstly performed. The Portuguese version of the Ankle Instability Instrument was then applied to 81 higher education adult students, with (n = 59) and without history of ankle sprain (n = 22). Participants were evaluated two times with an interval of one week to assess the psychometric properties of the Portuguese version of the Ankle Instability Instrument. Results. In the reliability of binary responses based on the test retest, the tetrachoric correlation coefficient ranged from 0.99 to 1.00. In addition, the Kuder–Richardson coefficient was 0.79 suggesting good internal consistency. Conclusions. Test-retest showed an almost perfect match in all answers between the two moments, which seem to be related to sample characteristics. The internal consistency value was similar to the one obtained in the original version. The Portuguese version of the Ankle Instability Instrument is highly reliable and can be used in clinical practice.info:eu-repo/semantics/publishedVersio

Structural differences on cell wall polysaccharides of brewer's spent Saccharomyces and microarray binding profiles with immune receptors

Funding Information: This work was financial supported by FCT - Fundação para a Ciência e a Tecnologia , I.P. within the project “Yeast4FoodMed” ( POCI-01-0145-FEDER-030936 and PTDC/BAA-AGR/30936/2017 ) and LAQV/REQUIMTE ( UIDB/50006/2020 and UIDP/50006/2020 ) through national funds and, where applicable, co-financed by the FEDER , within the PT2020 Partnership Agreement. This work was also financed by national funds from FCT , in the scope of the project UIDP/04378/2020 and UIDB/04378/2020 of the Research Unit on Applied Molecular Biosciences - UCIBIO and the project LA/P/0140/2020 of the Associate Laboratory Institute for Health and Bioeconomy - i4HB. Rita Bastos ( PD/BD/114579/2016 ), Viviana G. Correia ( PD/BD/105727/2014 ) and Angelina S. Palma ( PTDC/BIA-MIB/31730/2017 ) were supported by FCT . Elisabete Coelho (CDL-CTTRI-88-ARH/2018 - REF. 049-88-ARH/2018 ) and Benedita Pinheiro thank the research contracts funded by FCT through program DL 57/2016 – Norma transitória. Publisher Copyright: © 2022 The AuthorsBrewing practice uses the same yeast to inoculate the following fermentation (repitching). Saccharomyces pastorianus, used to produce Lager beer, is widely reused, not changing its fermentation performance. However, S. cerevisiae, used to produce Ale beer, is partial or not even reused, due to its poor performance. It is hypothesized that cells modulate their wall polysaccharides to increase the cell-wall strength. In this work industrial S. cerevisiae and S. pastorianus brewer's spent yeasts with different repitching numbers were studied. Glucans were the main component of S. cerevisiae whereas mannoproteins were abundant in S. pastorianus. The major changes were noticed on glucans of both species, β1,3-glucans decrease more pronounced in S. cerevisiae. The increase of α1,4-Glc, related with osmotolerance, was higher in S. cerevisiae while β1,4-Glc, related with cell-wall strength, had a small increase. In addition, these structural details showed different binding profiles to immune receptors, important to develop tailored bioactive applications.publishersversionpublishe

Defective ribosomal products challenge nuclear function by impairing nuclear condensate dynamics and immobilizing ubiquitin

Nuclear protein aggregation has been linked to genome instability and disease. The main source of aggregation-prone proteins in cells is defective ribosomal products (DRiPs), which are generated by translating ribosomes in the cytoplasm. Here, we report that DRiPs rapidly diffuse into the nucleus and accumulate in nucleoli and PML bodies, two membraneless organelles formed by liquid\u2013liquid phase separation. We show that nucleoli and PML bodies act as dynamic overflow compartments that recruit protein quality control factors and store DRiPs for later clearance. Whereas nucleoli serve as constitutive overflow compartments, PML bodies are stress-inducible overflow compartments for DRiPs. If DRiPs are not properly cleared by chaperones and proteasomes due to proteostasis impairment, nucleoli undergo amyloidogenesis and PML bodies solidify. Solid PML bodies immobilize 20S proteasomes and limit the recycling of free ubiquitin. Ubiquitin depletion, in turn, compromises the formation of DNA repair compartments at fragile chromosomal sites, ultimately threatening cell survival

Unveiling the Differences of Secretome of Human Bone Marrow Mesenchymal Stem Cells, Adipose Tissue-Derived Stem Cells, and Human Umbilical Cord Perivascular Cells: A Proteomic Analysis

The use of human mesenchymal stem cells (hMSCs) has emerged as a possible therapeutic strategy for CNS-related conditions. Research in the last decade strongly suggests that MSC-mediated benefits are closely related with their secretome. Studies published in recent years have shown that the secretome of hMSCs isolated from different tissue sources may present significant variation. With this in mind, the present work performed a comparative proteomic-based analysis through mass spectrometry on the secretome of hMSCs derived from bone marrow (BMSCs), adipose tissue (ASCs), and human umbilical cord perivascular cells (HUCPVCs). The results revealed that BMSCs, ASCs, and HUCPVCs differed in their secretion of neurotrophic, neurogenic, axon guidance, axon growth, and neurodifferentiative proteins, as well as proteins with neuroprotective actions against oxidative stress, apoptosis, and excitotoxicity, which have been shown to be involved in several CNS disorder/injury processes. Although important changes were observed within the secretome of the cell populations that were analyzed, all cell populations shared the capability of secreting important neuroregulatory molecules. The difference in their secretion pattern may indicate that their secretome is specific to a condition of the CNS. Nevertheless, the confirmation that the secretome of MSCs isolated from different tissue sources is rich in neuroregulatory molecules represents an important asset not only for the development of future neuroregenerative strategies but also for their use as a therapeutic option for human clinical trials.Foundation Calouste de Gulbenkian for the funds attributed to A.J.S.; Portuguese Foundation for Science and Technology (FCT) PhD fel- lowships attributed to A.O.P. (SFRH/BD/33900/2009) and S.I.A. (SFRH/BD/81495/2011) and Ciência 2007, IF Development Grant attributed to A.J.S., and projects PTDC/ NEU-NMC/0205/2012, UID/NEU/04539/2013; cofinanced by COMPETE Programa Operacional Factores de Compe- titividade; and by The National Mass Spectrometry Network (RNEM) (REDE/1506/REM/2005); Prémios Santa Casa Neurociências—Prize Melo e Castro for Spinal Cord Injury Research; cofunded by Programa Operacional Regional do Norte (ON.2–O Novo Norte),ao abrigo do Quadro de Referência Estratégico Nacional (QREN), and através do Fundo Europeu de Desenvolvimento Regional (FEDER). The authors also would like to thank Professor J.E.D. (University of Toronto, Canada) and Professor J.M.G. (Tulane University) for kindly providing HUCPVCs and ASCs, respectivelyinfo:eu-repo/semantics/publishedVersio